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Finding the Fourth Proportional to 583,776.28, 875,820.42 and 209,802.52

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Solution

The fourth proportional to 583,776.28, 875,820.42 and 209,802.52 is: 314,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,776.28 : 875,820.42 = 209,802.52 : x
  2. Step 2: Convert to fraction form
    583,776.28/875,820.42 = 209,802.52/x
  3. Step 3: Cross multiply
    583,776.28x = 875,820.42 × 209,802.52
  4. Step 4: Simplify right side
    583,776.28x = 183,749,331,183.46
  5. Step 5: Solve for x
    x = 183,749,331,183.46/583,776.28
  6. Step 6: Final answer
    x = 314,759.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.